## Chapter – 2

__Functions__

If you have chosen mathematics in grade 11 then you must be familiar with function chapter. In many publications, function chapter is listed in chapter 2. While going through the problems given in this chapter, you may get stuck. So inorder to help you I have brought the solution of class 11 function chapter.

In function chapter we will study about the ways of finding domain, range as well as inverse of functions. This chapter has total 3 exercise and in each exercise we will study about different subtopics related to our main topic that is ‘function’. Before we head out to the solutions section, let’s have a surface knowledge about functions.

__Introduction__

__Introduction__

A function is a relationship between two sets in which each element in the first set corresponds to exactly one element in the second set. This relationship can be represented using various mathematical notations, such as f(x) or y = f(x).

### Cartesian Product of Sets

Given two sets A and B, the set of all ordered pairs (a, b) such that a ∊ A and b ∊ B is called the Cartesian product of A and B, and is denoted by A × B It is read “A cross B”.

In the set-builder notation, we have

A×B = {(a,b) : a ∊ A, b ∊ B}

## Functions Class 11 Mathematics Solutions PDF

Please note that this PDF focuses exclusively on Exercise 2.1. However, if you need solutions for other exercises, we’ve got you covered! Simply click the button above, and you’ll find the solutions for those exercises as well. It’s just a click away!

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## Is Class 11 Functions Note Helpful For Student ?

Absolutely! Our solutions for the Class 11 Mathematics Function Chapter are designed to greatly benefit students in their studies. Here are three key ways our solutions can help students excel in this subject:

### 1. Comprehensive Understanding

Our solutions provide students with a comprehensive understanding of the Function Chapter. Each step is explained in detail, guiding students through the problem-solving process. By following our solutions, students can grasp the underlying concepts and techniques required to tackle similar problems on their own.

### 2. Practice and Reinforcement

Practice is essential for mastering any subject, and mathematics is no exception. Our solutions offer a wealth of practice opportunities for students. By studying the solutions and attempting the problems independently, students can reinforce their learning, build confidence, and improve their problem-solving skills.

### 3. Exam Preparation

The solutions for the Function Chapter serve as an invaluable resource for exam preparation. Students can use these solutions as a reference to review concepts, learn alternative problem-solving approaches, and understand the expected format and presentation of solutions. By studying our solutions, students can gain insights into the types of questions that may appear in exams and develop strategies to approach them with confidence.

## How to secure good marks in Mathematics ?

As, you may know I’m also a student. Being a student is not so easy. You have to study different subjects simultaneously. From my point of view most of the student are weak in mathematics. You can take me as an example, I am also weak in mathematics. I also face problems while solving mathematics questions.

If you want to secure good marks in mathematics then you should practise them everyday. You should once revise all the exercise which are already taught in class. When you are solving maths problems, start from easy questions that you know already. If you do so then you won’t get bored.

Maths is not only about practising, especially in grade 11 you to have the basic concept of the problem. When you get the main concept of the problem then you can easily any problems in which similar concept are applied.

When your teacher tries to make the concept clear by giving examples then all students tries to remember the same example but you should never do that. You can create your own formula which you won’t forget later.

If you give proper time for your practise with proper technique then you can definitely score a good marks in your examination.

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